Sur l'alg\'ebrisation des tissus, le th\'eor\`eme de Bol en toute dimension >2
Differential Geometry
2007-05-23 v1
Abstract
We prove that a d-web near a point in n-space, where n is greater than 2 and d is greater than 2n-1, is equivalent to an algebraic web, if it has maximal rank or, more generally, if it has (2d - 3n + 1) abelian relations the 1-jets of which are linearly independent. In case n=3, this is a theorem of Bol. The general case answers a question of Chern and Griffiths.
Cite
@article{arxiv.math/0508095,
title = {Sur l'alg\'ebrisation des tissus, le th\'eor\`eme de Bol en toute dimension >2},
author = {Jean-Marie Trépreau},
journal= {arXiv preprint arXiv:math/0508095},
year = {2007}
}